Printable · GCSE Foundation · ages 14-16
Coordinates in all four quadrants worksheet — GCSE Foundation
Fifteen questions on "coordinates in all four quadrants" — DfE statement A8. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.
Coordinates in all four quadrants worksheet — GCSE Foundation
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- 1.Work out the distance of the point (−6, 4) from the x-axis.
- 2.A square has vertices at (−2, 3), (−2, −3) and (4, −3). Write down the coordinates of the fourth vertex.
- 3.The point D has coordinates (3, −8). Write down the distance of D from the y-axis.
- 4.A triangle has vertices at (1, 1), (1, 5) and (6, 1). Work out the area of the triangle.
- 5.In which quadrant does the point (−3, 0.5) lie?
- 6.A park is drawn on a grid in which 1 unit represents 1 km. The car park is at the point (0, 0) and the lake is at the point (3, 5). Work out the direct distance, in km, from the car park to the lake, giving your answer to 1 decimal place.
- 7.On a map, where each grid unit represents 1 km, Ravi's house is at (−3, 4) and the library is at (6, 4). Work out the distance between Ravi's house and the library.
- 8.Point P has coordinates (2, −5). P is reflected in the x-axis to point Q. Write down the coordinates of Q.
- 9.Point A has coordinates (4, −5). Point B has coordinates (4, 3). Work out the distance between A and B.
- 10.Write down the coordinates of the point that is 4 units to the left of the origin and 7 units up.
- 11.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
- 12.Work out the coordinates of the point halfway between (−9, −2) and (−1, −2).
- 13.A point lies on the y-axis. What can be said about the x-coordinate of that point?
- 14.The point A is at (5, −3). In which quadrant does A lie?
- 15.The point F has x-coordinate −1 and lies 6 units above the x-axis. Write down the coordinates of F.
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